The American insurance firm began a four-year global brand sponsorship agreement with the Premier League champions in June 2010.
PRWeek has learned that Aon has overseen pitches from several London-based consumer PR agencies in recent weeks for a brief to promote new insurance products with Manchester United branding.
It is understood that the company is yet to confirm the exact details of the new products, but it is thought they are likely to be consumer insurance products targeting Manchester United's UK fan base.
A spokesperson at Aon declined to comment.
Personal insurance products currently on offer from the firm include car, household and art.
Aon's sponsorship partnership with the club was reported to be the most lucrative shirt sponsorship deal in global football at the time, believed to be worth £20m per season.
In addition to having Aon's brand on the Manchester United shirt, the agreement included opportunities for joint product marketing and services to Aon clients.
On announcing the partnership with the club, Aon Corporation's president and CEO Greg Case said that the deal was part of a 'major commitment in promoting the Aon brand'.
'Manchester United gives the Aon brand a truly global platform, with exposure to the world's largest fan base of more than one billion soccer fans and the more than 330 million Manchester United fans over a wide variety of distribution channels,' Case wrote in a company statement.
Aon took on the club's sponsorship from ill-fated American insurance giant AIG when the company declined to renew its £14m-a-year contract after suffering during the global financial crisis.
Headquartered in Chicago, Aon's global reach spans more than 500 offices across 120 countries.